Yes, but it is not recommended.
Fresh chestnuts in the water and sugar accounted for a relatively high proportion of chestnuts, the chestnuts put at room temperature, the bacteria contained in the microbial reproduction rate will be very rapid, it is very easy to cause the chestnuts of the moldy, but in the refrigerator freezer storage at low temperatures, you can inhibit bacterial reproduction rate, thus extending the chestnuts of the preservation of time.
Note
But chestnuts do not tolerate low temperatures, and the temperature of the refrigerator freezer is generally lower than 0 degrees, if the fresh chestnuts will be put in the refrigerator freezer to save the preservation of the chestnut meat, may be frozen, affecting its original crisp taste.